ab*ab*ab*ab*ab*ab*ab*ab*ab*ab=1024

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Solution for ab*ab*ab*ab*ab*ab*ab*ab*ab*ab=1024 equation:


Simplifying
ab * ab * ab * ab * ab * ab * ab * ab * ab * ab = 1024

Multiply ab * ab
a2b2 * ab * ab * ab * ab * ab * ab * ab * ab = 1024

Multiply a2b2 * ab
a3b3 * ab * ab * ab * ab * ab * ab * ab = 1024

Multiply a3b3 * ab
a4b4 * ab * ab * ab * ab * ab * ab = 1024

Multiply a4b4 * ab
a5b5 * ab * ab * ab * ab * ab = 1024

Multiply a5b5 * ab
a6b6 * ab * ab * ab * ab = 1024

Multiply a6b6 * ab
a7b7 * ab * ab * ab = 1024

Multiply a7b7 * ab
a8b8 * ab * ab = 1024

Multiply a8b8 * ab
a9b9 * ab = 1024

Multiply a9b9 * ab
a10b10 = 1024

Solving
a10b10 = 1024

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Divide each side by 'b10'.
a10 = 1024b-10

Simplifying
a10 = 1024b-10

Combine like terms: 1024b-10 + -1024b-10 = 0
a10 + -1024b-10 = 0

Factor out the Greatest Common Factor (GCF), 'b-10'.
b-10(a10b10 + -1024) = 0

Factor a difference between two squares.
b-10((a5b5 + 32)(a5b5 + -32)) = 0

Subproblem 1

Set the factor 'b-10' equal to zero and attempt to solve: Simplifying b-10 = 0 Solving b-10 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b-10' to each side of the equation. b-10 + -1b-10 = 0 + -1b-10 Remove the zero: 0 = -1b-10 Simplifying 0 = -1b-10 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(a5b5 + 32)' equal to zero and attempt to solve: Simplifying a5b5 + 32 = 0 Reorder the terms: 32 + a5b5 = 0 Solving 32 + a5b5 = 0 Move all terms containing a to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + a5b5 = 0 + -32 Combine like terms: 32 + -32 = 0 0 + a5b5 = 0 + -32 a5b5 = 0 + -32 Combine like terms: 0 + -32 = -32 a5b5 = -32 Divide each side by 'b5'. a5 = -32b-5 Simplifying a5 = -32b-5 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 3

Set the factor '(a5b5 + -32)' equal to zero and attempt to solve: Simplifying a5b5 + -32 = 0 Reorder the terms: -32 + a5b5 = 0 Solving -32 + a5b5 = 0 Move all terms containing a to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + a5b5 = 0 + 32 Combine like terms: -32 + 32 = 0 0 + a5b5 = 0 + 32 a5b5 = 0 + 32 Combine like terms: 0 + 32 = 32 a5b5 = 32 Divide each side by 'b5'. a5 = 32b-5 Simplifying a5 = 32b-5 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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